Positive clusters for smooth perturbations of a critical elliptic equation in dimensions four and five
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Publication:1753388
DOI10.1016/j.jfa.2018.02.002zbMath1396.58017arXiv1603.06479OpenAlexW2963839974MaRDI QIDQ1753388
Jérôme Vétois, Pierre-Damien Thizy
Publication date: 29 May 2018
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.06479
Elliptic equations on manifolds, general theory (58J05) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09)
Related Items (12)
Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinities ⋮ Infinitely many blowing-up solutions for Yamabe-type problems on manifolds with boundary ⋮ Clustered solutions for supercritical elliptic equations on Riemannian manifolds ⋮ Clustered solutions to low-order perturbations of fractional Yamabe equations ⋮ Infinite-time blowing-up solutions to small perturbations of the Yamabe flow ⋮ Stationary Kirchhoff equations with powers ⋮ Towering phenomena for the Yamabe equation on symmetric manifolds ⋮ Bubbling above the threshold of the scalar curvature in dimensions four and five ⋮ Towers of bubbles for Yamabe-type equations and for the Brézis-Nirenberg problem in dimensions \(n \geq 7\) ⋮ Non simple blow ups for the Nirenberg problem on half spheres ⋮ Sign-changing blow-up for the Yamabe equation at the lowest energy level ⋮ Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case
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